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Finding the Fourth Proportional to 571.84, 857.52 and 416.80

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Solution

The fourth proportional to 571.84, 857.52 and 416.80 is: 625.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.84 : 857.52 = 416.80 : x
  2. Step 2: Convert to fraction form
    571.84/857.52 = 416.80/x
  3. Step 3: Cross multiply
    571.84x = 857.52 × 416.80
  4. Step 4: Simplify right side
    571.84x = 357,414.34
  5. Step 5: Solve for x
    x = 357,414.34/571.84
  6. Step 6: Final answer
    x = 625.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.